To find the number of bricks that can be painted out of the container, we need to calculate the total area of one brick and then divide the total area of the container by the area of one brick.

The area of one brick can be calculated by multiplying the length, width, and height of the brick: Area of one brick = 11.5 cm * 10 cm * 16 cm

However, the area of the container is given in square meters, so we need to convert the area of one brick to square meters: Area of one brick = (11.5 cm * 0.01 m/cm) * (10 cm * 0.01 m/cm) * (16 cm * 0.01 m/cm)

Now we can calculate the area of one brick in square meters: Area of one brick = 0.115 m * 0.1 m * 0.16 m

Next, we can calculate the number of bricks that can be painted out of the container by dividing the total area of the container by the area of one brick: Number of bricks = 14.64 m² / (0.115 m * 0.1 m * 0.16 m)

Calculating this expression gives us: Number of bricks ≈ 30,000 bricks

Therefore, the correct answer is indeed 30,000 bricks.